77846513940 has 288 divisors, whose sum is σ = 262824307200. Its totient is φ = 19120458240.

The previous prime is 77846513933. The next prime is 77846513947. The reversal of 77846513940 is 4931564877.

77846513940 is a `hidden beast` number, since 7 + 7 + 8 + 465 + 139 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (77846513933) and next prime (77846513947).

It is a super-2 number, since 2×77846513940² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77846513947) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74923941 + ... + 74924979.

It is an arithmetic number, because the mean of its divisors is an integer number (912584400).

Almost surely, 2^77846513940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77846513940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131412153600).

77846513940 is an abundant number, since it is smaller than the sum of its proper divisors (184977793260).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

77846513940 is a wasteful number, since it uses less digits than its factorization.

77846513940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1904 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 77846513940 in words is "seventy-seven billion, eight hundred forty-six million, five hundred thirteen thousand, nine hundred forty".